A252148 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

1921, 3026, 3026, 5090, 2543, 5090, 8132, 3073, 3073, 8132, 14578, 3797, 5440, 3797, 14578, 24855, 5511, 4416, 4416, 5511, 24855, 44707, 7997, 9443, 5860, 9443, 7997, 44707, 79081, 11573, 8964, 8391, 8391, 8964, 11573, 79081, 140896, 16734, 21375

Offset

1,1

Comments

Table starts

...1921..3026..5090..8132..14578..24855..44707..79081.140896.248042..450225

...3026..2543..3073..3797...5511...7997..11573..16734..25572..37796...57507

...5090..3073..5440..4416...9443...8964..21375..18900..49770..41768..119013

...8132..3797..4416..5860...8391..11662..17166..25025..36612..54416...82121

..14578..5511..9443..8391..18757..16958..44234..36963.101771..83289..245182

..24855..7997..8964.11662..16958..24112..34320..50514..77490.109924..171154

..44707.11573.21375.17166..44234..34320.108750..78781.254289.178690..631331

..79081.16734.18900.25025..36963..50514..78781.114221.179372.250389..400881

.140896.25572.49770.36612.101771..77490.254289.179372.618938.408148.1530647

.248042.37796.41768.54416..83289.109924.178690.250389.408148.567920..943581

Links

R. H. Hardin, Table of n, a(n) for n = 1..448

Formula

Empirical for column k:

k=1: [linear recurrence of order 96] for n>105

k=2: [order 53] for n>60

k=3: [order 30] for n>36

k=4: [order 24] for n>31

k=5: [order 30, same recurrence as k=3] for n>38

k=6: [order 24, same recurrence as k=4] for n>33

k=7: [order 30, same recurrence as k=3,5] for n>40

Example

Some solutions for n=4 k=4
..2..1..0..2..3..0....3..0..3..0..2..1....1..3..1..3..1..2....3..1..3..1..3..3
..1..2..0..1..2..0....1..3..1..3..1..2....2..0..3..0..3..0....0..3..0..3..0..3
..0..0..0..0..0..0....2..0..3..0..3..3....3..3..1..3..1..3....2..1..3..1..3..1
..2..1..0..2..1..3....3..3..1..3..1..2....2..0..3..0..3..0....3..3..0..3..0..3
..3..2..0..1..2..3....2..0..3..0..3..0....1..3..1..3..1..3....2..1..3..1..3..1
..0..0..0..3..0..0....1..3..1..3..1..3....3..0..3..0..3..0....1..2..0..3..0..3

Crossrefs

Sequence in context: A061374 A282474 A252140 * A252141 A157448 A035768

Adjacent sequences: A252145 A252146 A252147 * A252149 A252150 A252151

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2014

Status

approved